A closed box with a square base of length x and height of length y is to be constructed so that it's surface area is S=12(pi)ft^2. Express the volume of the box V, as a function of the width of the box, x

Find the volume of the solid generated when the region bounded by y= x and y= 4√x is revolved about the x-axis the volume of the solid is: (type an exact answer cubic units)

Find the equation of the trend line (line of best fit). show your work i'm using the points (34,76) (42,91)

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.